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Primes of the form k!4+16, where k!4 is the quadruple factorial number (A007662).
1

%I #8 Sep 02 2017 19:27:48

%S 17,19,37,61,601,65851,40883551,44358635491,184874815141,

%T 200200021673987500790641,2442358029135994033939891,

%U 13005556505149168230729834391,85277434004263096088895523996891,47579595706543208754134106245953141

%N Primes of the form k!4+16, where k!4 is the quadruple factorial number (A007662).

%H Robert Price, <a href="/A289492/b289492.txt">Table of n, a(n) for n = 1..18</a>

%H Henri& Renaud Lifchitz, <a href="http://www.primenumbers.net/prptop/searchform.php?form=n4+16&amp;action=Search">PRP Records.Search for n!4+16.</a>

%H Joe McLean, <a href="http://web.archive.org/web/20091027034731/http://uk.geocities.com/nassarawa%40btinternet.com/probprim2.htm">Interesting Sources of Probable Primes</a>

%H OpenPFGW Project, <a href="http://sourceforge.net/projects/openpfgw/">Primality Tester</a>

%t MultiFactorial[n_, k_] := If[n<1, 1, n*MultiFactorial[n-k, k]];

%t Select[Table[MultiFactorial[i, 4] + 16, {i, 0, 100}], PrimeQ[#]&]

%Y Cf. A291344.

%K nonn

%O 1,1

%A _Robert Price_, Sep 02 2017